Weak solutions for a singular beam equation
Analysis of PDEs
2024-05-21 v1
Abstract
This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems.
Keywords
Cite
@article{arxiv.2405.11369,
title = {Weak solutions for a singular beam equation},
author = {Olena Atlasiuk and Arnaud Heibig and Adrien Petrov},
journal= {arXiv preprint arXiv:2405.11369},
year = {2024}
}